Localizations at infinity and essential spectrum of quantum Hamiltonians: I. General theory

Details Localizations at infinity and essential spectrum of quantum Hamiltonians: I. General theory Localizations at infinity and essential spectrum of quantum Hamiltonians: I. General theory

2005-06-20

arxiv.org/abs/math-ph/0506051v2

Rev. Math. Phys. 18(4) 417-483 (2006)

Physics

Mathematical Physics

63 pages. This is the published version with several corrections

Scientific paper

10.1142/S0129055X06002693

We isolate a large class of self-adjoint operators H whose essential spectrum
is determined by their behavior at large x and we give a canonical
representation of their essential spectrum in terms of spectra of limits at
infinity of translations of H. The configuration space is an arbitrary abelian
locally compact not compact group.

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